simplifying an algebraic expression

simplify: $-3(y + 2)^2 - 5 + 6y$
what is the simplified product in standard form?
$\quady^2 + \quady + \quad$

Question

simplifying an algebraic expression

simplify: $-3(y + 2)^2 - 5 + 6y$
what is the simplified product in standard form?
$\quady^2 + \quady + \quad$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Perfect Square Trinomial", "Distributive Property", "Like Terms" ], "new_concepts": [], "current_concepts": [ "Perfect Square Trinomial", "Distributive Property", "Like Terms", "Polynomial Operations" ] } ## Expand the binomial square $$ (y + 2)^2 = y^2 + 4y + 4 $$ ## Distribute the constant factor $$ -3(y^2 + 4y + 4) = -3y^2 - 12y - 12 $$ ## Combine like terms $$ \begin{aligned} -3(y + 2)^2 - 5 + 6y &= (-3y^2 - 12y - 12) - 5 + 6y \ &= -3y^2 + (-12y + 6y) + (-12 - 5) \ &= -3y^2 - 6y - 17 \end{aligned} $$ Simplify: $-3(y + 2)^2 - 5 + 6y$ What is the simplified product in standard form? -3$y^2 +$ -6$y +$ -17 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Operations" ] }

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QUESTION IMAGE

Question

Explanation:

Expand the binomial square

Distribute the constant factor

Combine like terms

Answer: